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Finding the Fourth Proportional to 9,553.44, 14,326.68 and 3,311.78

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Solution

The fourth proportional to 9,553.44, 14,326.68 and 3,311.78 is: 4,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.44 : 14,326.68 = 3,311.78 : x
  2. Step 2: Convert to fraction form
    9,553.44/14,326.68 = 3,311.78/x
  3. Step 3: Cross multiply
    9,553.44x = 14,326.68 × 3,311.78
  4. Step 4: Simplify right side
    9,553.44x = 47,446,812.29
  5. Step 5: Solve for x
    x = 47,446,812.29/9,553.44
  6. Step 6: Final answer
    x = 4,966.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.